Title | Asymptotic equivalence of difference schemes for solving Cauchy problem |
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Authors | S. M. Muryumin^{1}, O. S. Yazovtseva^{1}^{1}National Research Ogarev Mordovia State University |

Annotation | The articles states definitions of asymptotic equivalence of difference schemes for solving Cauchy problem. There is shown equivalence for generate of absolutely stable difference scheme by application of regularization method. There is examples equivalent and non-equivalent difference schemes for solving Cauchy problem, numerical solving for Cauchy problem with using regularization parameter. |

Keywords | Cauchy problem, Asymptotic equivalence, difference scheme, regularization method |

Citation | Muryumin S. M., Yazovtseva O. S. ''Asymptotic equivalence of difference schemes for solving Cauchy problem'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 491-497. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper67.pdf. - Date of access: 24.08.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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